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Finding the Fourth Proportional to 11,671.72, 16,106.87 and 6,366.42

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Solution

The fourth proportional to 11,671.72, 16,106.87 and 6,366.42 is: 8,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.72 : 16,106.87 = 6,366.42 : x
  2. Step 2: Convert to fraction form
    11,671.72/16,106.87 = 6,366.42/x
  3. Step 3: Cross multiply
    11,671.72x = 16,106.87 × 6,366.42
  4. Step 4: Simplify right side
    11,671.72x = 102,543,115.22
  5. Step 5: Solve for x
    x = 102,543,115.22/11,671.72
  6. Step 6: Final answer
    x = 8,785.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.